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Finding the Fourth Proportional to 189,848.66, 284,851.55 and 83,177.46

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Solution

The fourth proportional to 189,848.66, 284,851.55 and 83,177.46 is: 124,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,848.66 : 284,851.55 = 83,177.46 : x
  2. Step 2: Convert to fraction form
    189,848.66/284,851.55 = 83,177.46/x
  3. Step 3: Cross multiply
    189,848.66x = 284,851.55 × 83,177.46
  4. Step 4: Simplify right side
    189,848.66x = 23,693,228,614.01
  5. Step 5: Solve for x
    x = 23,693,228,614.01/189,848.66
  6. Step 6: Final answer
    x = 124,800.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.